(x-1)(x+8)=-8

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Solution for (x-1)(x+8)=-8 equation: 


Simplifying
(x + -1)(x + 8) = -8

Reorder the terms:
(-1 + x)(x + 8) = -8

Reorder the terms:
(-1 + x)(8 + x) = -8

Multiply (-1 + x) * (8 + x)
(-1(8 + x) + x(8 + x)) = -8
((8 * -1 + x * -1) + x(8 + x)) = -8
((-8 + -1x) + x(8 + x)) = -8
(-8 + -1x + (8 * x + x * x)) = -8
(-8 + -1x + (8x + x2)) = -8

Combine like terms: -1x + 8x = 7x
(-8 + 7x + x2) = -8

Add '8' to each side of the equation.
-8 + 7x + 8 + x2 = -8 + 8

Reorder the terms:
-8 + 8 + 7x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 7x + x2 = -8 + 8
7x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
7x + x2 = 0

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -7}

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